These are the course notes I have been using for the last few years to teach Advanced Higher Statistics. I wrote them myself, based on the SQA course description, and have included lots of examples. Included in this bundle AH Statistics Course Notes AH Statistics Formulas to Memorise (A list of all the important facts that need to be remembered for Advanced Higher Statistics, that are not in the formula sheet) AH Statistics 150 Quick Questions (A set of short questions covering all aspects of the Advanced Higher Statistics Course) AH Statistics 14 Tests (A revision resource giving a summary of the 14 hypothesis tests in the course:) AH Statistics Course Summary (Short questions on each aspect of the course and links to the place in the SQA Course Specification) All included with full solutions. If you spot any mistakes please let me know. Last update: March 2023

Thirteen homeworks each with full solutions, covering the following areas of the course. 1 - Probability 2 - Probability, Sampling, Binomial 3 - Probability, Sampling, Binomial 4 - Binomial, Normal, Poisson #1 5 - Distributions 5a - Distributions and Regressions 6 - Hypothesis Test 7 - Normal Approximation 8 - Control charts, Confidence Interval, Fences 9 - Mean and Variance 10 - Binomial, Normal, Poisson #2 11 - Z and T tests 12 - More Distributions 13 - Wilcoxon and Mann Whitney For some of the homeworks (2,3,5) I have made slightly different alternative versions and they are included too. Update: homeworks 2,5,7 updated March 2023

A series of six questions on the Mann-Whitney test, including dealing with ties and the normal approximation (the data in these questions is not mine and is taken from various sources). A Wilcoxon and Mann-Whitney homework Both provided with full solutions

A set of multi-part questions covering both chi-squared test for association and goodness of fit A set of questions building up to using chi-squared to work out whether a Binomial or Poisson distribution fits the data Both provided with full solutions.

Three worksheets for pupils to become familiar with using a TI82 (or similar) Graphics Calculator. Calculator Guide. Explains how to do Basic Navigation, Basic Maths, Statistical Distributions and Statistical Tests. Calculator Practice. Some practice questions to be solved by Graphic Calculator. Solutions at the end. TI82 Stats Calculator Questions. A Powerpoint with some more practice

A series of basic questions testing these skills: • Use the four operations with whole numbers. • Use simple fractions in context. • Express numbers given in figures in words, and vice versa. • Use money in a range of contexts. • Interpret and use information. • Select the appropriate unit of measurement for length. • Measure to a required degree of accuracy • Perform calculations in everyday contexts. • Round to the nearest unit in context. • Use fractions and percentages in context. • Use 12-hour and 24-hour times for simple problems involving time. • Select the appropriate unit of measurement for length, weight or volume. • Order everyday objects according to weight or volume. • Perform calculations in everyday contexts. • Interpret and communicate information. • Use properties of shapes. • Use further measurement skills.

Eleven fun questions based on the Scottish Advanced Higher Statistics course, also applicable to the English Statistics A level. Questions are on a Powerpoint and full solutions on a PDF. Topics covered include: conditional probability, regression analysis, confidence intervals, paired t-test, Poisson distribution, Binomial distribution, Chi-squared distribution, Continuous uniform distribution and Normal distribution. Edit: updated May 2023

This is a series of questions testing the basic principles that there are 60 seconds in a minute, and 60 minutes in an hour. They start easy and get harder, including decimals and fractions. Full solutions included.

Two pages of tricky riddles, that will keep pupils busy. The second page is much harder than the first. Requires only simple mathematical ideas but lots of lateral and creative thinking. Solutions provided.

15 numeracy questions of increasing difficulty. Multiple copies should be printed out (one-sided) and each team starts on Q1. When they bring you the answer to that they get Q2, and so on. Topics covered: percentages simple algebra angles in a triangle/quadrilateral time Included with answers.

A series of questions testing - sine rule (missing side and missing angle) - cosine rule (missing side and missing angle) - area of triangle using 1/2 ab sin C - bearings (with sine rule and cosine rule) Solutions provided. 2021 - added second set of questions on Bearings and Trigonometry, and a bearings homework

Four sets of revision questions on the following topics - factorising straight line algebraic fractions. surds (including revision of vectors and straight line) Each question has four possible answers. Pupils could work in groups in class, or this could be used as homework, or anything else you can think of. Answer key included at the end of each set of questions.

Four Powerpoint slides and a worksheet revising Straight Line Identifying the equation from a graph Finding the gradient and equation from two points Finding a parallel line Vertical and Horizontal lines Sketching straight lines Solutions at the bottom of each Powerpoint

Practice ratio questions on simplifying ratios dividing a sum ratio problems Extension problems included too, and answers. 2021 - added a ratio homework with answers

An investigation into how many people can fit in a room while keeping two metres apart. There are three main spacings: square (the first one you think of) hexagonal irregular This is an interesting read for those mathematically minded

Practice questions to help pupils prepare for the UKMT Junior challenge. Mix #1 - divisibility, primes, symmetry, counting, angles, remainders, averages, Venn diagrams Mix #2 - DST, probability, counting Angles - triangles, straight lines, regular polygons All provided with answers (full solutions for the problems I made up myself) 2021 - added some similar questions designed to practice the JMC (Junior Maths Challenge, a similar Scottish Competition)

A treasure hunt to revise Fractions, Decimals and Percentages. Print out the A4 clues and put them on the walls. Pupils can work in pairs and start anywhere. They solve any clue (e.g. 30% of 90) then find the clue with that answer on it and carry on from there. Answers provided.

A set of 15 short but interesting maths puzzles that lead pupils around the school. The questions require no special maths knowledge and can be done for ages 10+. I’ve filled in the maths clues, you will need to add the 15 locations to the clues and hide them around the school. I’ve done this with a whole year group before in the school grounds - because the clues go in a loop they can start anywhere. Once a pair/team have done all 15 clues they can come to you for the ‘final challenge’. Full answers provided.

Four sets of simple questions for pupils to practice basic skills with fractions, percentages and decimals. Good for revision or consolidation. Includes - converting between fractions, decimals, and percentages - ordering a mixed list of all three - equivalent fractions - adding fractions - mixed numbers and improper fractions Solutions included.

An investigation for pupils about the classic Four Colour Theorem. Some background and examples, then a chance for them to have a go at. Makes a change from the usual end-of-term colouring!